Find the missing number in the series: 144, 441, 169, 961, 196, 1681, 225, ___

2025

Find the missing number in the series:

144, 441, 169, 961, 196, 1681, 225, ___

  1. A.

    2601

  2. B.

    2201

  3. C.

    2401

  4. D.

    2501

Attempted by 18 students.

Show answer & explanation

Correct answer: A

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Key insight: the terms are perfect squares arranged in pairs where each base number is the digit-reversal of the previous base.

  • 12^2 = 144 and 21^2 = 441

  • 13^2 = 169 and 31^2 = 961

  • 14^2 = 196 and 41^2 = 1681

  • 15^2 = 225 and 51^2 = 2601

Therefore the missing number is 2601 (which is 51^2).

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